Respuesta :

akposevictor

Answer:

m<3 = 66°

Step-by-step explanation:

<3 is an angle with its vertex inside the circle shown in the diagram. This, it's an internal angle.

The measure of an internal angle is equal to half the sum of the measure of the arcs intercepted.

Thus, the equation that shows relationship between <3 and arc WX and arc YZ is shown below:

m<3 = ½(40 + 92)

m<3 = ½(132)

m<3 = 66°

The measure of m<3 = 66°

Calculation of the measure:

Since  arc WX = 40' and arc Y Z = 92

So we know that

The measure of an internal angle should be equivalent to half the sum of the measure of the arcs intercepted.

So based on this

m<3 =0.50 (40 + 92)

m<3 = 0.50(132)

m<3 = 66°

hence, The measure of m<3 = 66°

Learn more about arc here: https://brainly.com/question/24597215

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